8334222462720 has 1728 divisors, whose sum is σ = 38953834343424. Its totient is φ = 1591887790080.

The previous prime is 8334222462707. The next prime is 8334222462721. The reversal of 8334222462720 is 272642224338.

It is a happy number.

8334222462720 is a `hidden beast` number, since 8 + 3 + 342 + 224 + 62 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8334222462721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 648419814 + ... + 648432666.

It is an arithmetic number, because the mean of its divisors is an integer number (22542728208).

Almost surely, 2^{8334222462720} is an apocalyptic number.

8334222462720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8334222462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19476917171712).

8334222462720 is an abundant number, since it is smaller than the sum of its proper divisors (30619611880704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8334222462720 is a wasteful number, since it uses less digits than its factorization.

8334222462720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12958 (or 12941 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 8334222462720 in words is "eight trillion, three hundred thirty-four billion, two hundred twenty-two million, four hundred sixty-two thousand, seven hundred twenty".